Advanced search
Start date
Betweenand
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the endomorphism ring and Cohen-Macaulayness of local cohomology defined by a pair of ideals

Full text
Author(s):
Freitas, Thiago H. [1] ; Jorge Perez, Victor H. [2]
Total Authors: 2
Affiliation:
[1] Univ Tecnol Fed Parana, Campus Guarapuava, BR-85053525 Guarapuava - Brazil
[2] Univ Sao Paulo, ICMC, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: CZECHOSLOVAK MATHEMATICAL JOURNAL; v. 69, n. 2, p. 453-470, JUN 2019.
Web of Science Citations: 0
Abstract

Let a, I, J be ideals of a Noetherian local ring (R,m,k). Let M and N be finitely generated R-modules. We give a generalized version of the Duality Theorem for Cohen-Macaulay rings using local cohomology defined by a pair of ideals. We study the behavior of the endomorphism rings of HI,Jt(M) and HI,Jt(M)), where t is the smallest integer such that the local cohomology with respect to a pair of ideals is nonzero and D(-):= Hom(R)(-, E-r(k)) is the Matlis dual functor. We show that if R is a d-dimensional complete Cohen-Macaulay ring and HI,Ji(R) = 0 for all i t, the natural homomorphism R Hom(r)(HI,Jt(K-R),HI,Jt(K-R)) is an isomorphism, where K-R denotes the canonical module of R. Also, we discuss the depth and Cohen-Macaulayness of the Matlis dual of the top local cohomology modules with respect to a pair of ideals. (AU)

FAPESP's process: 13/20723-7 - Finiteness properties and Artinianness of formal local cohomology modules dened by a PAIs of ideals
Grantee:Thiago Henrique de Freitas
Support type: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 12/01084-0 - Coefficients ideals for arbitrary ideals
Grantee:Thiago Henrique de Freitas
Support type: Scholarships in Brazil - Doctorate